Subgroups — C₁₉×#9312 #18015271

Order 4864.

492 conjugacy classes of subgroups.

The subgroup lattice has 386 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₉×#3116	C₂	1	1	yes	maximal, characteristic
2	C₁₉×#2875	C₂	1	1	yes	maximal, characteristic
3	C₁₉×#1531	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₉×#1488	C₂	1	1	yes	maximal, characteristic
5	C₁₉×#1485	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₉×#1302	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₉×#1291	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×C₁₉×#131	—	2	1	no	—
9	C₁₉×#533	C₂²	1	1	yes	characteristic
10	C₄×#41×C₁₉	C₂²	1	1	yes	characteristic
11	C₁₉×#485	—	2	1	no	—
12	C₁₉×#477	C₄	1	1	yes	characteristic
13	C₁₉×#476	C₄	1	1	yes	characteristic
14	C₁₉×#462	C₄	1	1	yes	characteristic
15	C₁₉×#461	C₄	1	1	yes	characteristic
16	C₁₉×#452	—	2	1	no	—
17	C₁₉×#441	—	2	1	no	—
18	C₁₉×#440	—	2	1	no	—
19	C₁₉×#432	C₂²	1	1	yes	characteristic
20	C₁₉×#432	C₂²	1	1	yes	characteristic
21	C₁₉×#431	C₂²	1	1	yes	characteristic
22	C₁₉×#405	—	2	2	no	—
23	C₁₉×#405	—	2	1	no	—
24	C₄×M₁₆×C₁₉	—	2	1	no	—
25	C₄×M₁₆×C₁₉	C₂²	1	1	yes	characteristic
26	C₂×C₁₉×#97	—	2	1	no	—
27	C₂×C₁₉×#97	C₂²	1	1	yes	characteristic
28	C₁₉×#330	—	2	1	no	—
29	C₁₉×#330	—	2	1	no	—
30	C₁₉×Q₈⋊C₈	—	2	2	no	—
31	C₁₉×Q₈⋊C₈	—	2	1	no	—
32	C₁₉×D₄⋊C₈	—	2	1	no	—
33	C₂×#41×C₁₉	D₄	1	1	yes	characteristic
34	C₂×Q₁₆×C₁₉	—	2	1	no	—
35	C₂×SD₁₆×C₁₉	—	2	1	no	—
36	C₁₉×#131	—	2	4	no	—
37	C₁₉×#131	—	2	4	no	—
38	C₂×M₁₆×C₁₉	—	2	2	no	—
39	C₂×M₁₆×C₁₉	—	2	1	no	—
40	C₂²×C₈×C₁₉	—	2	2	no	—
41	C₂²×C₈×C₁₉	—	2	1	no	—
42	C₁₉×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
43	C₁₉×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
44	C₁₉×#125	—	2	1	no	—
45	C₁₉×C₂²⋊Q₈	—	2	1	no	—
46	C₁₉×C₂²⋊Q₈	—	2	1	no	—
47	C₄×Q₈×C₁₉	—	2	1	no	—
48	C₄×Q₈×C₁₉	—	2	1	no	—
49	C₄×Q₈×C₁₉	C₂×C₄	1	1	yes	characteristic
50	C₄×Q₈×C₁₉	D₄	1	1	yes	characteristic
51	C₄×D₄×C₁₉	—	2	1	no	—
52	C₄×D₄×C₁₉	—	2	1	no	—
53	C₄×D₄×C₁₉	C₂×C₄	1	1	yes	characteristic
54	C₄×D₄×C₁₉	D₄	1	1	yes	characteristic
55	C₁₉×#117	—	2	1	no	—
56	C₁₉×#117	—	2	1	no	—
57	C₁₉×#117	D₄	1	1	yes	characteristic
58	C₂×C₄²×C₁₉	—	2	1	no	—
59	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
60	C₁₉×#107	—	2	1	no	—
61	C₁₉×#106	—	2	1	no	—
62	C₁₉×C₄⋊C₈	—	2	1	no	—
63	C₁₉×C₄⋊C₈	—	2	1	no	—
64	C₁₉×C₄⋊C₈	C₂×C₄	1	1	yes	characteristic
65	C₁₉×C₄⋊C₈	C₂×C₄	1	1	yes	characteristic
66	C₁₉×#103	—	2	1	no	—
67	C₁₉×#103	—	2	1	no	—
68	C₁₉×#103	—	2	1	no	—
69	C₁₉×#102	—	2	1	no	—
70	C₁₉×C₂²⋊C₈	—	2	1	no	—
71	C₁₉×C₂²⋊C₈	—	2	1	no	—
72	C₁₉×C₂²⋊C₈	—	2	1	no	—
73	C₁₉×#97	—	2	2	no	—
74	C₁₉×#97	—	2	1	no	—
75	C₁₉×#97	—	2	1	no	—
76	C₁₉×#97	—	2	1	no	—
77	C₁₉×#97	—	2	1	no	—
78	C₁₉×#97	D₄	1	1	yes	characteristic
79	C₁₉×#97	D₄	1	1	yes	characteristic
80	C₄×C₈×C₁₉	—	2	2	no	—
81	C₄×C₈×C₁₉	—	2	1	no	—
82	C₄×C₈×C₁₉	D₄	1	2	yes	—
83	#41×C₁₉	—	2	2	no	—
84	#41×C₁₉	—	2	2	no	—
85	C₂×Q₈×C₁₉	—	2	1	no	—
86	C₂×Q₈×C₁₉	—	2	1	no	—
87	C₂×Q₈×C₁₉	C₂²⋊C₄	1	1	yes	characteristic
88	C₂×D₄×C₁₉	—	2	1	no	—
89	C₂×D₄×C₁₉	C₂²⋊C₄	1	1	yes	characteristic
90	C₂²×C₄×C₁₉	—	2	1	no	—
91	C₂²×C₄×C₁₉	—	2	1	no	—
92	C₂²×C₄×C₁₉	—	2	1	no	—
93	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
94	C₂²×C₄×C₁₉	#41	1	1	yes	characteristic
95	C₂²×C₄×C₁₉	#41	1	1	yes	characteristic
96	Q₁₆×C₁₉	—	4	2	no	—
97	SD₁₆×C₁₉	—	4	2	no	—
98	M₁₆×C₁₉	—	2	8	no	—
99	M₁₆×C₁₉	—	2	2	no	—
100	M₁₆×C₁₉	—	2	2	no	—
101	C₂×C₈×C₁₉	—	2	8	no	—
102	C₂×C₈×C₁₉	—	2	2	no	—
103	C₂×C₈×C₁₉	—	2	2	no	—
104	C₂×C₈×C₁₉	—	2	1	no	—
105	C₂×C₈×C₁₉	—	2	1	no	—
106	C₂×C₈×C₁₉	—	2	2	no	—
107	C₂×C₈×C₁₉	—	2	1	no	—
108	C₂×C₈×C₁₉	—	2	1	no	—
109	C₂×C₈×C₁₉	—	4	1	no	—
110	C₂×C₈×C₁₉	—	4	1	no	—
111	C₄⋊C₄×C₁₉	—	2	1	no	—
112	C₄⋊C₄×C₁₉	—	2	1	no	—
113	C₄⋊C₄×C₁₉	—	2	1	no	—
114	C₄⋊C₄×C₁₉	—	2	1	no	—
115	C₄⋊C₄×C₁₉	—	2	1	no	—
116	C₄⋊C₄×C₁₉	—	2	1	no	—
117	C₄⋊C₄×C₁₉	—	4	1	no	—
118	C₄⋊C₄×C₁₉	—	4	1	no	—
119	C₄⋊C₄×C₁₉	C₂²⋊C₄	1	1	yes	characteristic
120	C₄⋊C₄×C₁₉	C₂²⋊C₄	1	1	yes	characteristic
121	C₂²⋊C₄×C₁₉	—	2	1	no	—
122	C₂²⋊C₄×C₁₉	—	2	1	no	—
123	C₂²⋊C₄×C₁₉	—	2	1	no	—
124	C₂²⋊C₄×C₁₉	—	4	1	no	—
125	C₄²×C₁₉	—	2	1	no	—
126	C₄²×C₁₉	—	2	1	no	—
127	C₄²×C₁₉	—	2	1	no	—
128	C₄²×C₁₉	—	4	1	no	—
129	C₄²×C₁₉	C₂²×C₄	1	1	yes	characteristic
130	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
131	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
132	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
133	#9312	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
134	C₂³×C₁₉	—	2	1	no	—
135	C₂³×C₁₉	#123	1	1	yes	characteristic
136	Q₈×C₁₉	—	2	1	no	—
137	Q₈×C₁₉	—	4	2	no	—
138	Q₈×C₁₉	—	4	1	no	—
139	Q₈×C₁₉	—	4	1	no	—
140	Q₈×C₁₉	#104	1	2	yes	—
141	D₄×C₁₉	—	2	4	no	—
142	D₄×C₁₉	—	2	1	no	—
143	D₄×C₁₉	#104	1	2	yes	—
144	C₂×C₄×C₁₉	—	2	4	no	—
145	C₂×C₄×C₁₉	—	2	1	no	—
146	C₂×C₄×C₁₉	—	2	1	no	—
147	C₂×C₄×C₁₉	—	2	1	no	—
148	C₂×C₄×C₁₉	—	2	1	no	—
149	C₂×C₄×C₁₉	—	2	1	no	—
150	C₂×C₄×C₁₉	—	4	1	no	—
151	C₂×C₄×C₁₉	—	4	1	no	—
152	C₂×C₄×C₁₉	—	4	1	no	—
153	C₂×C₄×C₁₉	—	4	1	no	—
154	C₂×C₄×C₁₉	—	8	1	no	—
155	C₂×C₄×C₁₉	—	8	1	no	—
156	C₂×C₄×C₁₉	C₂×C₂²⋊C₄	1	1	yes	characteristic
157	C₂×C₄×C₁₉	C₄×D₄	1	1	yes	characteristic
158	C₂×C₄×C₁₉	C₄×D₄	1	1	yes	characteristic
159	C₂×C₄×C₁₉	#120	1	1	yes	characteristic
160	C₂×C₄×C₁₉	#121	1	1	yes	characteristic
161	C₂×C₄×C₁₉	#121	1	1	yes	characteristic
162	C₈×C₁₉	—	2	2	no	—
163	C₈×C₁₉	—	2	2	no	—
164	C₈×C₁₉	—	2	4	no	—
165	C₈×C₁₉	—	4	1	no	—
166	C₈×C₁₉	—	4	1	no	—
167	C₈×C₁₉	—	8	1	no	—
168	C₈×C₁₉	—	8	1	no	—
169	#3116	C₂×C₁₉	1	1	yes	characteristic
170	#2875	C₂×C₁₉	1	1	yes	characteristic
171	#1531	C₂×C₁₉	1	1	yes	characteristic, complemented
172	#1488	C₂×C₁₉	1	1	yes	characteristic
173	#1485	C₂×C₁₉	1	1	yes	characteristic, complemented
174	#1302	C₂×C₁₉	1	1	yes	characteristic, complemented
175	#1291	C₂×C₁₉	1	1	yes	characteristic, complemented
176	C₂²×C₁₉	—	2	1	no	—
177	C₂²×C₁₉	—	2	1	no	—
178	C₂²×C₁₉	—	2	2	no	—
179	C₂²×C₁₉	—	2	1	no	—
180	C₂²×C₁₉	—	4	1	no	—
181	C₂²×C₁₉	—	4	1	no	—
182	C₂²×C₁₉	#386	1	1	yes	characteristic
183	C₄×C₁₉	—	2	1	no	—
184	C₄×C₁₉	—	2	1	no	—
185	C₄×C₁₉	—	2	1	no	—
186	C₄×C₁₉	—	2	2	no	—
187	C₄×C₁₉	—	2	1	no	—
188	C₄×C₁₉	—	2	1	no	—
189	C₄×C₁₉	—	4	1	no	—
190	C₄×C₁₉	—	4	1	no	—
191	C₄×C₁₉	—	8	1	no	—
192	C₄×C₁₉	—	8	1	no	—
193	C₄×C₁₉	C₂×#104	1	1	yes	characteristic
194	C₄×C₁₉	C₂×#104	1	1	yes	characteristic
195	C₂×#131	—	2	1	no	—
196	#533	C₂²×C₁₉	1	1	yes	characteristic
197	C₄×#41	C₂²×C₁₉	1	1	yes	characteristic
198	#485	—	2	1	no	—
199	#477	C₄×C₁₉	1	1	yes	characteristic
200	#476	C₄×C₁₉	1	1	yes	characteristic
201	#462	C₄×C₁₉	1	1	yes	characteristic
202	#461	C₄×C₁₉	1	1	yes	characteristic
203	#452	—	2	1	no	—
204	#441	—	2	1	no	—
205	#440	—	2	1	no	—
206	#432	C₂²×C₁₉	1	1	yes	characteristic
207	#432	C₂²×C₁₉	1	1	yes	characteristic
208	#431	C₂²×C₁₉	1	1	yes	characteristic
209	#405	—	2	1	no	—
210	#405	—	2	2	no	—
211	C₄×M₁₆	—	2	1	no	—
212	C₄×M₁₆	C₂²×C₁₉	1	1	yes	characteristic
213	C₂×#97	—	2	1	no	—
214	C₂×#97	C₂²×C₁₉	1	1	yes	characteristic
215	#330	—	2	1	no	—
216	#330	—	2	1	no	—
217	Q₈⋊C₈	—	2	1	no	—
218	Q₈⋊C₈	—	2	2	no	—
219	D₄⋊C₈	—	2	1	no	—
220	C₂×C₁₉	—	4	1	no	—
221	C₂×C₁₉	—	4	2	no	—
222	C₂×C₁₉	#1881	1	1	yes	characteristic
223	C₂×C₁₉	#1896	1	1	yes	characteristic
224	C₂×C₁₉	#1902	1	1	yes	characteristic
225	C₂×#41	D₄×C₁₉	1	1	yes	characteristic
226	C₂×Q₁₆	—	2	1	no	—
227	C₂×SD₁₆	—	2	1	no	—
228	#131	—	2	4	no	—
229	#131	—	2	4	no	—
230	C₂×M₁₆	—	2	2	no	—
231	C₂×M₁₆	—	2	1	no	—
232	C₂²×C₈	—	2	2	no	—
233	C₂²×C₈	—	2	1	no	—
234	C₄⋊Q₈	C₂×C₄×C₁₉	1	1	yes	characteristic
235	C₄⋊Q₈	C₂×C₄×C₁₉	1	1	yes	characteristic
236	#125	—	2	1	no	—
237	C₂²⋊Q₈	—	2	1	no	—
238	C₂²⋊Q₈	—	2	1	no	—
239	C₄×Q₈	—	2	1	no	—
240	C₄×Q₈	—	2	1	no	—
241	C₄×Q₈	C₂×C₄×C₁₉	1	1	yes	characteristic
242	C₄×Q₈	D₄×C₁₉	1	1	yes	characteristic
243	C₄×D₄	—	2	1	no	—
244	C₄×D₄	—	2	1	no	—
245	C₄×D₄	C₂×C₄×C₁₉	1	1	yes	characteristic
246	C₄×D₄	D₄×C₁₉	1	1	yes	characteristic
247	#117	—	2	1	no	—
248	#117	—	2	1	no	—
249	#117	D₄×C₁₉	1	1	yes	characteristic
250	C₂×C₄²	—	2	1	no	—
251	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
252	#107	—	2	1	no	—
253	#106	—	2	1	no	—
254	C₄⋊C₈	—	2	1	no	—
255	C₄⋊C₈	—	2	1	no	—
256	C₄⋊C₈	C₂×C₄×C₁₉	1	1	yes	characteristic
257	C₄⋊C₈	C₂×C₄×C₁₉	1	1	yes	characteristic
258	#103	—	2	1	no	—
259	#103	—	2	1	no	—
260	#103	—	2	1	no	—
261	#102	—	2	1	no	—
262	C₂²⋊C₈	—	2	1	no	—
263	C₂²⋊C₈	—	2	1	no	—
264	C₂²⋊C₈	—	2	1	no	—
265	#97	—	2	2	no	—
266	#97	—	2	1	no	—
267	#97	—	2	1	no	—
268	#97	—	2	1	no	—
269	#97	—	2	1	no	—
270	#97	D₄×C₁₉	1	1	yes	characteristic
271	#97	D₄×C₁₉	1	1	yes	characteristic
272	C₄×C₈	—	2	2	no	—
273	C₄×C₈	—	2	1	no	—
274	C₄×C₈	D₄×C₁₉	1	2	yes	—
275	C₁₉	#9312	1	1	yes	characteristic, direct product factor, Sylow
276	#41	—	2	2	no	—
277	#41	—	2	2	no	—
278	C₂×Q₈	—	2	1	no	—
279	C₂×Q₈	—	2	1	no	—
280	C₂×Q₈	C₂²⋊C₄×C₁₉	1	1	yes	characteristic
281	C₂×D₄	—	2	1	no	—
282	C₂×D₄	C₂²⋊C₄×C₁₉	1	1	yes	characteristic
283	C₂²×C₄	—	2	1	no	—
284	C₂²×C₄	—	2	1	no	—
285	C₂²×C₄	—	2	1	no	—
286	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
287	C₂²×C₄	#41×C₁₉	1	1	yes	characteristic
288	C₂²×C₄	#41×C₁₉	1	1	yes	characteristic
289	Q₁₆	—	4	2	no	—
290	SD₁₆	—	4	2	no	—
291	M₁₆	—	2	8	no	—
292	M₁₆	—	2	2	no	—
293	M₁₆	—	2	2	no	—
294	C₂×C₈	—	2	8	no	—
295	C₂×C₈	—	2	2	no	—
296	C₂×C₈	—	2	2	no	—
297	C₂×C₈	—	2	1	no	—
298	C₂×C₈	—	2	2	no	—
299	C₂×C₈	—	2	1	no	—
300	C₂×C₈	—	2	1	no	—
301	C₂×C₈	—	2	1	no	—
302	C₂×C₈	—	4	1	no	—
303	C₂×C₈	—	4	1	no	—
304	C₄⋊C₄	—	2	1	no	—
305	C₄⋊C₄	—	2	1	no	—
306	C₄⋊C₄	—	2	1	no	—
307	C₄⋊C₄	—	2	1	no	—
308	C₄⋊C₄	—	2	1	no	—
309	C₄⋊C₄	—	2	1	no	—
310	C₄⋊C₄	—	4	1	no	—
311	C₄⋊C₄	—	4	1	no	—
312	C₄⋊C₄	C₂²⋊C₄×C₁₉	1	1	yes	characteristic
313	C₄⋊C₄	C₂²⋊C₄×C₁₉	1	1	yes	characteristic
314	C₂²⋊C₄	—	2	1	no	—
315	C₂²⋊C₄	—	2	1	no	—
316	C₂²⋊C₄	—	2	1	no	—
317	C₂²⋊C₄	—	4	1	no	—
318	C₄²	—	2	1	no	—
319	C₄²	—	2	1	no	—
320	C₄²	—	2	1	no	—
321	C₄²	—	4	1	no	—
322	C₄²	C₂²×C₄×C₁₉	1	1	yes	characteristic
323	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
324	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
325	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
326	C₂³	—	2	1	no	—
327	C₂³	C₁₉×#123	1	1	yes	characteristic
328	Q₈	—	2	1	no	—
329	Q₈	—	4	2	no	—
330	Q₈	—	4	1	no	—
331	Q₈	—	4	1	no	—
332	Q₈	C₁₉×#104	1	2	yes	—
333	D₄	—	2	4	no	—
334	D₄	—	2	1	no	—
335	D₄	C₁₉×#104	1	2	yes	—
336	C₂×C₄	—	2	4	no	—
337	C₂×C₄	—	2	1	no	—
338	C₂×C₄	—	2	1	no	—
339	C₂×C₄	—	2	1	no	—
340	C₂×C₄	—	2	1	no	—
341	C₂×C₄	—	2	1	no	—
342	C₂×C₄	—	4	1	no	—
343	C₂×C₄	—	4	1	no	—
344	C₂×C₄	—	4	1	no	—
345	C₂×C₄	—	4	1	no	—
346	C₂×C₄	—	8	1	no	—
347	C₂×C₄	—	8	1	no	—
348	C₂×C₄	C₂×C₂²⋊C₄×C₁₉	1	1	yes	characteristic
349	C₂×C₄	C₄×D₄×C₁₉	1	1	yes	characteristic
350	C₂×C₄	C₄×D₄×C₁₉	1	1	yes	characteristic
351	C₂×C₄	C₁₉×#120	1	1	yes	characteristic
352	C₂×C₄	C₁₉×#121	1	1	yes	characteristic
353	C₂×C₄	C₁₉×#121	1	1	yes	characteristic
354	C₈	—	2	2	no	—
355	C₈	—	2	2	no	—
356	C₈	—	2	4	no	—
357	C₈	—	4	1	no	—
358	C₈	—	4	1	no	—
359	C₈	—	8	1	no	—
360	C₈	—	8	1	no	—
361	C₂²	—	2	1	no	—
362	C₂²	—	2	2	no	—
363	C₂²	—	2	1	no	—
364	C₂²	—	2	1	no	—
365	C₂²	—	4	1	no	—
366	C₂²	—	4	1	no	—
367	C₂²	C₁₉×#386	1	1	yes	characteristic
368	C₄	—	2	1	no	—
369	C₄	—	2	2	no	—
370	C₄	—	2	1	no	—
371	C₄	—	2	1	no	—
372	C₄	—	2	1	no	—
373	C₄	—	2	1	no	—
374	C₄	—	4	1	no	—
375	C₄	—	4	1	no	—
376	C₄	—	8	1	no	—
377	C₄	—	8	1	no	—
378	C₄	C₂×C₁₉×#104	1	1	yes	characteristic
379	C₄	C₂×C₁₉×#104	1	1	yes	characteristic
380	C₂	—	4	1	no	—
381	C₂	—	4	2	no	—
382	C₂	C₁₉×#1881	1	1	yes	characteristic
383	C₂	C₁₉×#1896	1	1	yes	characteristic
384	C₂	C₁₉×#1902	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₉	#386
commutator	C₄²	C₂²×C₄×C₁₉
Frattini, cosocle	C₂×C₄²	C₂³×C₁₉
prime radical	C₂×#41×C₁₉	D₄
LCS	G ▷ C₄² ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₁₉ ◁ C₂×C₄²×C₁₉ ◁ G

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
3. C₁₉×#1531	C₂	semidirect
5. C₁₉×#1485	C₂	semidirect
6. C₁₉×#1302	C₂	semidirect
7. C₁₉×#1291	C₂	semidirect
133. #9312	C₁₉	direct (N × H)
171. #1531	C₂×C₁₉	semidirect
173. #1485	C₂×C₁₉	semidirect
174. #1302	C₂×C₁₉	semidirect
175. #1291	C₂×C₁₉	semidirect
275. C₁₉	#9312	direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
C₁₉×#3116	2
C₁₉×#2875	2
C₁₉×#1531	2
C₁₉×#1488	2
C₁₉×#1485	2
C₁₉×#1302	2
C₁₉×#1291	2
#9312	19

Subgroups — C19×#9312 #18015271

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#9312 #18015271